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Simplifying 54 = -4(4r + -5) + 2(6 + -3r) Reorder the terms: 54 = -4(-5 + 4r) + 2(6 + -3r) 54 = (-5 * -4 + 4r * -4) + 2(6 + -3r) 54 = (20 + -16r) + 2(6 + -3r) 54 = 20 + -16r + (6 * 2 + -3r * 2) 54 = 20 + -16r + (12 + -6r) Reorder the terms: 54 = 20 + 12 + -16r + -6r Combine like terms: 20 + 12 = 32 54 = 32 + -16r + -6r Combine like terms: -16r + -6r = -22r 54 = 32 + -22r Solving 54 = 32 + -22r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '22r' to each side of the equation. 54 + 22r = 32 + -22r + 22r Combine like terms: -22r + 22r = 0 54 + 22r = 32 + 0 54 + 22r = 32 Add '-54' to each side of the equation. 54 + -54 + 22r = 32 + -54 Combine like terms: 54 + -54 = 0 0 + 22r = 32 + -54 22r = 32 + -54 Combine like terms: 32 + -54 = -22 22r = -22 Divide each side by '22'. r = -1 Simplifying r = -1
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